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(C) Given: $E_{0}=120 	ext{ NC}^{-1}$,$f=50 	ext{ MHz} = 50 	imes 10^{6} 	ext{ Hz}$.$(a)$ Magnetic field amplitude: $B_{0} = \frac{E_{0}}{c} = \fr

Vedclass · Accepted Answer

Propagation constant (angular wave number) is $2.1 	ext{ rad/m}$.

Vedclass · Answer

(C) Given: $E_{0}=120 	ext{ NC}^{-1}$,$f=50 	ext{ MHz} = 50 	imes 10^{6} 	ext{ Hz}$.$(a)$ Magnetic field amplitude: $B_{0} = \frac{E_{0}}{c} = \frac{120}{3 	imes 10^{8}} = 40 	imes 10^{-8} 	ext{ T} = 400 	ext{ nT}$. (Correct)$(b)$ Angular frequency: $\omega = 2\pi f = 2\pi 	imes 50 	imes 10^{6} = \pi 	imes 10^{8} 	ext{ rad/s}$. (Correct)$(c)$ Propagation constant: $k = \frac{\omega}{c} = \frac{\pi 	imes 10^{8}}{3 	imes 10^{8}} = \frac{\pi}{3} \approx 1.047 	ext{ rad/m}$. The given value $2.1 	ext{ rad/m}$ is incorrect.$(d)$ Wavelength: $\lambda = \frac{c}{f} = \frac{3 	imes 10^{8}}{50 	imes 10^{6}} = 6 	ext{ m}$. (Correct)

Suppose that the electric field amplitude of an electromagnetic wave is $E_{0}=120 \text{ NC}^{-1}$ and its frequency $f=50 \text{ MHz}$. Then,which of the following values is incorrectly computed?

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